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Vortex Dynamics in a Compact Kardar-Parisi-Zhang System
A Zamora1, N Lad1, M H Szymanska1
1Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.
Abstract:
We study the dynamics of vortices in a two-dimensional, nonequilibrium system, described by the compact Kardar-Parisi-Zhang equation, after a sudden quench across the critical region. Our exact numerical solution of the phase-ordering kinetics shows that the unique interplay between nonequilibrium and the variable degree of spatial anisotropy leads to different critical regimes. We provide an analytical expression for the vortex evolution, based on scaling arguments, which is in agreement with the numerical results, and confirms the form of the interaction potential between vortices in this system.
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